Math Problem Statement
You can purchase a Treasury bill that is 107 days from maturity for $14,870. The Treasury bill has a face value of $15,000.
Round your answers to 3 decimal places. (e.g., 32.161)
a. Calculate the Treasury bill’s quoted yield.
Quoted Yield: %
Solution
To calculate the quoted yield on a Treasury bill, we can use the following formula:
Given:
- Face Value = $15,000
- Purchase Price = $14,870
- Days to Maturity = 107
Now, let's compute the quoted yield.
I'll calculate that now.The Treasury bill's quoted yield is approximately 2.916%.
Would you like more details or have any questions?
Here are some related questions you might find useful:
- How does the quoted yield differ from the actual return on investment?
- What is the impact of the number of days to maturity on the yield?
- How do Treasury bills compare to Treasury bonds in terms of yield?
- What role does the 360-day year play in financial calculations like this one?
- How would the quoted yield change if the purchase price were different?
Tip: Treasury bills are typically considered low-risk investments because they are backed by the U.S. government, making them a popular choice for conservative investors.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Finance
Yield Calculation
Percentage
Time Value of Money
Formulas
Quoted Yield = ((Face Value - Purchase Price) / Face Value) × (360 / Days to Maturity) × 100
Theorems
-
Suitable Grade Level
College-level Finance
Related Recommendation
Calculate Yield to Maturity on a $100,000 Treasury Bill with 54 Days to Maturity
Money Market Yield Calculation for U.S. Treasury Bill Investment
How to Calculate Discount Yield and Effective Rate for Treasury Bills
T-bill Purchase Price Calculation: 50-day Maturity and 6.146% Interest
Calculate Ask and Bid Price for Treasury Bill with Face Value $10,000